# User:Tohline/Math/EQ Toroidal07

 $~P_\nu^{\mu + 1}(z)$ $~=$ $~ (z^2-1)^{-\frac{1}{2}} \{ (\nu - \mu) z P^\mu_\nu(z) - (\nu + \mu)P^\mu_{\nu - 1}(z)\}$ Abramowitz & Stegun (1995), p. 333, eq. (8.5.1)
 NOTE: $~Q_\nu^\mu$, as well as $~P_\nu^\mu$, satisfies this same recurrence relation.